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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Fri, 03 May 2013 15:19:27 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/May/03/t1367608796yx3ss3va9xstk8g.htm/, Retrieved Sat, 04 May 2024 23:56:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208700, Retrieved Sat, 04 May 2024 23:56:41 +0000

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Estimated Impact

127

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Classical Decomposition] [] [2013-05-03 19:19:27] [bda1405f45fc71f9cfac8f9f3e5dea22] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208700&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208700&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208700&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	120.6	NA	NA	-7.70331018518519	NA
2	119.9	NA	NA	-10.3375462962963	NA
3	119.48	NA	NA	-13.0251157407407	NA
4	117.45	NA	NA	14.0657175925926	NA
5	118.37	NA	NA	11.0039814814815	NA
6	117.07	NA	NA	8.46120370370368	NA
7	114.98	121.316412037037	115.030833333333	6.28557870370371	-6.33641203703702
8	112.59	117.360162037037	114.132083333333	3.22807870370371	-4.77016203703703
9	111.7	113.784606481481	113.280833333333	0.50377314814815	-2.08460648148147
10	112.04	110.256481481481	112.54	-2.2835185185185	1.78351851851853
11	110.79	107.193148148148	111.780833333333	-4.58768518518518	3.59685185185185
12	110.79	105.347592592593	110.95875	-5.61115740740741	5.44240740740742
13	109.82	102.508773148148	110.212083333333	-7.70331018518519	7.31122685185184
14	109.11	99.218287037037	109.555833333333	-10.3375462962963	9.89171296296297
15	109.84	95.9161342592593	108.94125	-13.0251157407407	13.9238657407407
16	109.31	122.415300925926	108.349583333333	14.0657175925926	-13.1053009259259
17	108.29	118.799814814815	107.795833333333	11.0039814814815	-10.5098148148148
18	107.42	115.773703703704	107.3125	8.46120370370368	-8.35370370370369
19	106.71	113.225578703704	106.94	6.28557870370371	-6.51557870370371
20	105.11	109.875162037037	106.647083333333	3.22807870370371	-4.76516203703706
21	104.43	106.824189814815	106.320416666667	0.50377314814815	-2.39418981481482
22	105.11	103.653981481481	105.9375	-2.2835185185185	1.4560185185185
23	104.43	101.001898148148	105.589583333333	-4.58768518518518	3.42810185185184
24	105.55	99.7484259259259	105.359583333333	-5.61115740740741	5.80157407407407
25	106.12	97.6121064814815	105.315416666667	-7.70331018518519	8.50789351851851
26	105.78	95.1112037037037	105.44875	-10.3375462962963	10.6687962962963
27	105.33	92.6628009259259	105.687916666667	-13.0251157407407	12.6671990740741
28	104.63	119.960300925926	105.894583333333	14.0657175925926	-15.3303009259259
29	104.62	117.040648148148	106.036666666667	11.0039814814815	-12.4206481481481
30	105.57	114.581203703704	106.12	8.46120370370368	-9.01120370370369
31	107.5	112.379328703704	106.09375	6.28557870370371	-4.87932870370371
32	107.52	109.226828703704	105.99875	3.22807870370371	-1.70682870370372
33	107.76	106.367523148148	105.86375	0.50377314814815	1.39247685185187
34	106.74	103.406898148148	105.690416666667	-2.2835185185185	3.33310185185185
35	106.21	100.851064814815	105.43875	-4.58768518518518	5.35893518518519
36	105.77	99.4850925925926	105.09625	-5.61115740740741	6.28490740740743
37	105.27	96.8896064814815	104.592916666667	-7.70331018518519	8.38039351851852
38	104.35	93.6087037037037	103.94625	-10.3375462962963	10.7412962962963
39	103.52	90.2473842592592	103.2725	-13.0251157407407	13.2726157407407
40	102.28	116.674467592593	102.60875	14.0657175925926	-14.3944675925926
41	100.93	112.975231481481	101.97125	11.0039814814815	-12.0452314814815
42	101.04	109.83412037037	101.372916666667	8.46120370370368	-8.79412037037034
43	99.95	107.189328703704	100.90375	6.28557870370371	-7.23932870370369
44	99.55	103.777662037037	100.549583333333	3.22807870370371	-4.22766203703704
45	99.56	100.768773148148	100.265	0.50377314814815	-1.20877314814814
46	99.01	105.303148148148	107.586666666667	-2.2835185185185	-6.29314814814815
47	98.64	117.915231481481	122.502916666667	-4.58768518518518	-19.2752314814815
48	98.98	131.843009259259	137.454166666667	-5.61115740740741	-32.8630092592593
49	100.8	144.738773148148	152.442083333333	-7.70331018518519	-43.9387731481481
50	100.32	157.179537037037	167.517083333333	-10.3375462962963	-56.859537037037
51	100.72	169.608217592593	182.633333333333	-13.0251157407407	-68.8882175925926
52	280.8	211.783634259259	197.717916666667	14.0657175925926	69.0163657407408
53	280.4	223.936481481482	212.9325	11.0039814814815	56.4635185185184
54	280.4	237.063703703704	228.6025	8.46120370370368	43.3362962962963
55	280.3	250.82224537037	244.536666666667	6.28557870370371	29.4777546296296
56	281	263.688912037037	260.460833333333	3.22807870370371	17.311087962963
57	280.9	276.900439814815	276.396666666667	0.50377314814815	3.9995601851852
58	279.7	282.528981481481	284.8125	-2.2835185185185	-2.82898148148143
59	283.1	281.141481481481	285.729166666667	-4.58768518518518	1.95851851851859
60	290.6	281.051342592593	286.6625	-5.61115740740741	9.5486574074074
61	291.6	279.975856481482	287.679166666667	-7.70331018518519	11.6241435185185
62	291.7	278.39162037037	288.729166666667	-10.3375462962963	13.3083796296297
63	291.8	276.695717592593	289.720833333333	-13.0251157407407	15.1042824074074
64	291.7	304.790717592593	290.725	14.0657175925926	-13.0907175925926
65	291.5	302.624814814815	291.620833333333	11.0039814814815	-11.1248148148148
66	291.7	300.519537037037	292.058333333333	8.46120370370368	-8.81953703703704
67	293.4	298.423078703704	292.1375	6.28557870370371	-5.02307870370367
68	293.1	295.45724537037	292.229166666667	3.22807870370371	-2.35724537037032
69	292.6	292.820439814815	292.316666666667	0.50377314814815	-0.220439814814767
70	292.1	290.066481481481	292.35	-2.2835185185185	2.03351851851858
71	292.2	287.783148148148	292.370833333333	-4.58768518518518	4.4168518518519
72	292	286.730509259259	292.341666666667	-5.61115740740741	5.26949074074076
73	292.1	284.500856481481	292.204166666667	-7.70331018518519	7.59914351851853
74	293.4	281.66662037037	292.004166666667	-10.3375462962963	11.7333796296296
75	292.2	278.795717592593	291.820833333333	-13.0251157407407	13.4042824074074
76	292.1	305.711550925926	291.645833333333	14.0657175925926	-13.6115509259259
77	291.6	302.478981481481	291.475	11.0039814814815	-10.8789814814814
78	290.9	299.773703703704	291.3125	8.46120370370368	-8.87370370370371
79	290.9	NA	NA	6.28557870370371	NA
80	290.8	NA	NA	3.22807870370371	NA
81	290.5	NA	NA	0.50377314814815	NA
82	290	NA	NA	-2.2835185185185	NA
83	290.2	NA	NA	-4.58768518518518	NA
84	290.1	NA	NA	-5.61115740740741	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 120.6 & NA & NA & -7.70331018518519 & NA \tabularnewline
2 & 119.9 & NA & NA & -10.3375462962963 & NA \tabularnewline
3 & 119.48 & NA & NA & -13.0251157407407 & NA \tabularnewline
4 & 117.45 & NA & NA & 14.0657175925926 & NA \tabularnewline
5 & 118.37 & NA & NA & 11.0039814814815 & NA \tabularnewline
6 & 117.07 & NA & NA & 8.46120370370368 & NA \tabularnewline
7 & 114.98 & 121.316412037037 & 115.030833333333 & 6.28557870370371 & -6.33641203703702 \tabularnewline
8 & 112.59 & 117.360162037037 & 114.132083333333 & 3.22807870370371 & -4.77016203703703 \tabularnewline
9 & 111.7 & 113.784606481481 & 113.280833333333 & 0.50377314814815 & -2.08460648148147 \tabularnewline
10 & 112.04 & 110.256481481481 & 112.54 & -2.2835185185185 & 1.78351851851853 \tabularnewline
11 & 110.79 & 107.193148148148 & 111.780833333333 & -4.58768518518518 & 3.59685185185185 \tabularnewline
12 & 110.79 & 105.347592592593 & 110.95875 & -5.61115740740741 & 5.44240740740742 \tabularnewline
13 & 109.82 & 102.508773148148 & 110.212083333333 & -7.70331018518519 & 7.31122685185184 \tabularnewline
14 & 109.11 & 99.218287037037 & 109.555833333333 & -10.3375462962963 & 9.89171296296297 \tabularnewline
15 & 109.84 & 95.9161342592593 & 108.94125 & -13.0251157407407 & 13.9238657407407 \tabularnewline
16 & 109.31 & 122.415300925926 & 108.349583333333 & 14.0657175925926 & -13.1053009259259 \tabularnewline
17 & 108.29 & 118.799814814815 & 107.795833333333 & 11.0039814814815 & -10.5098148148148 \tabularnewline
18 & 107.42 & 115.773703703704 & 107.3125 & 8.46120370370368 & -8.35370370370369 \tabularnewline
19 & 106.71 & 113.225578703704 & 106.94 & 6.28557870370371 & -6.51557870370371 \tabularnewline
20 & 105.11 & 109.875162037037 & 106.647083333333 & 3.22807870370371 & -4.76516203703706 \tabularnewline
21 & 104.43 & 106.824189814815 & 106.320416666667 & 0.50377314814815 & -2.39418981481482 \tabularnewline
22 & 105.11 & 103.653981481481 & 105.9375 & -2.2835185185185 & 1.4560185185185 \tabularnewline
23 & 104.43 & 101.001898148148 & 105.589583333333 & -4.58768518518518 & 3.42810185185184 \tabularnewline
24 & 105.55 & 99.7484259259259 & 105.359583333333 & -5.61115740740741 & 5.80157407407407 \tabularnewline
25 & 106.12 & 97.6121064814815 & 105.315416666667 & -7.70331018518519 & 8.50789351851851 \tabularnewline
26 & 105.78 & 95.1112037037037 & 105.44875 & -10.3375462962963 & 10.6687962962963 \tabularnewline
27 & 105.33 & 92.6628009259259 & 105.687916666667 & -13.0251157407407 & 12.6671990740741 \tabularnewline
28 & 104.63 & 119.960300925926 & 105.894583333333 & 14.0657175925926 & -15.3303009259259 \tabularnewline
29 & 104.62 & 117.040648148148 & 106.036666666667 & 11.0039814814815 & -12.4206481481481 \tabularnewline
30 & 105.57 & 114.581203703704 & 106.12 & 8.46120370370368 & -9.01120370370369 \tabularnewline
31 & 107.5 & 112.379328703704 & 106.09375 & 6.28557870370371 & -4.87932870370371 \tabularnewline
32 & 107.52 & 109.226828703704 & 105.99875 & 3.22807870370371 & -1.70682870370372 \tabularnewline
33 & 107.76 & 106.367523148148 & 105.86375 & 0.50377314814815 & 1.39247685185187 \tabularnewline
34 & 106.74 & 103.406898148148 & 105.690416666667 & -2.2835185185185 & 3.33310185185185 \tabularnewline
35 & 106.21 & 100.851064814815 & 105.43875 & -4.58768518518518 & 5.35893518518519 \tabularnewline
36 & 105.77 & 99.4850925925926 & 105.09625 & -5.61115740740741 & 6.28490740740743 \tabularnewline
37 & 105.27 & 96.8896064814815 & 104.592916666667 & -7.70331018518519 & 8.38039351851852 \tabularnewline
38 & 104.35 & 93.6087037037037 & 103.94625 & -10.3375462962963 & 10.7412962962963 \tabularnewline
39 & 103.52 & 90.2473842592592 & 103.2725 & -13.0251157407407 & 13.2726157407407 \tabularnewline
40 & 102.28 & 116.674467592593 & 102.60875 & 14.0657175925926 & -14.3944675925926 \tabularnewline
41 & 100.93 & 112.975231481481 & 101.97125 & 11.0039814814815 & -12.0452314814815 \tabularnewline
42 & 101.04 & 109.83412037037 & 101.372916666667 & 8.46120370370368 & -8.79412037037034 \tabularnewline
43 & 99.95 & 107.189328703704 & 100.90375 & 6.28557870370371 & -7.23932870370369 \tabularnewline
44 & 99.55 & 103.777662037037 & 100.549583333333 & 3.22807870370371 & -4.22766203703704 \tabularnewline
45 & 99.56 & 100.768773148148 & 100.265 & 0.50377314814815 & -1.20877314814814 \tabularnewline
46 & 99.01 & 105.303148148148 & 107.586666666667 & -2.2835185185185 & -6.29314814814815 \tabularnewline
47 & 98.64 & 117.915231481481 & 122.502916666667 & -4.58768518518518 & -19.2752314814815 \tabularnewline
48 & 98.98 & 131.843009259259 & 137.454166666667 & -5.61115740740741 & -32.8630092592593 \tabularnewline
49 & 100.8 & 144.738773148148 & 152.442083333333 & -7.70331018518519 & -43.9387731481481 \tabularnewline
50 & 100.32 & 157.179537037037 & 167.517083333333 & -10.3375462962963 & -56.859537037037 \tabularnewline
51 & 100.72 & 169.608217592593 & 182.633333333333 & -13.0251157407407 & -68.8882175925926 \tabularnewline
52 & 280.8 & 211.783634259259 & 197.717916666667 & 14.0657175925926 & 69.0163657407408 \tabularnewline
53 & 280.4 & 223.936481481482 & 212.9325 & 11.0039814814815 & 56.4635185185184 \tabularnewline
54 & 280.4 & 237.063703703704 & 228.6025 & 8.46120370370368 & 43.3362962962963 \tabularnewline
55 & 280.3 & 250.82224537037 & 244.536666666667 & 6.28557870370371 & 29.4777546296296 \tabularnewline
56 & 281 & 263.688912037037 & 260.460833333333 & 3.22807870370371 & 17.311087962963 \tabularnewline
57 & 280.9 & 276.900439814815 & 276.396666666667 & 0.50377314814815 & 3.9995601851852 \tabularnewline
58 & 279.7 & 282.528981481481 & 284.8125 & -2.2835185185185 & -2.82898148148143 \tabularnewline
59 & 283.1 & 281.141481481481 & 285.729166666667 & -4.58768518518518 & 1.95851851851859 \tabularnewline
60 & 290.6 & 281.051342592593 & 286.6625 & -5.61115740740741 & 9.5486574074074 \tabularnewline
61 & 291.6 & 279.975856481482 & 287.679166666667 & -7.70331018518519 & 11.6241435185185 \tabularnewline
62 & 291.7 & 278.39162037037 & 288.729166666667 & -10.3375462962963 & 13.3083796296297 \tabularnewline
63 & 291.8 & 276.695717592593 & 289.720833333333 & -13.0251157407407 & 15.1042824074074 \tabularnewline
64 & 291.7 & 304.790717592593 & 290.725 & 14.0657175925926 & -13.0907175925926 \tabularnewline
65 & 291.5 & 302.624814814815 & 291.620833333333 & 11.0039814814815 & -11.1248148148148 \tabularnewline
66 & 291.7 & 300.519537037037 & 292.058333333333 & 8.46120370370368 & -8.81953703703704 \tabularnewline
67 & 293.4 & 298.423078703704 & 292.1375 & 6.28557870370371 & -5.02307870370367 \tabularnewline
68 & 293.1 & 295.45724537037 & 292.229166666667 & 3.22807870370371 & -2.35724537037032 \tabularnewline
69 & 292.6 & 292.820439814815 & 292.316666666667 & 0.50377314814815 & -0.220439814814767 \tabularnewline
70 & 292.1 & 290.066481481481 & 292.35 & -2.2835185185185 & 2.03351851851858 \tabularnewline
71 & 292.2 & 287.783148148148 & 292.370833333333 & -4.58768518518518 & 4.4168518518519 \tabularnewline
72 & 292 & 286.730509259259 & 292.341666666667 & -5.61115740740741 & 5.26949074074076 \tabularnewline
73 & 292.1 & 284.500856481481 & 292.204166666667 & -7.70331018518519 & 7.59914351851853 \tabularnewline
74 & 293.4 & 281.66662037037 & 292.004166666667 & -10.3375462962963 & 11.7333796296296 \tabularnewline
75 & 292.2 & 278.795717592593 & 291.820833333333 & -13.0251157407407 & 13.4042824074074 \tabularnewline
76 & 292.1 & 305.711550925926 & 291.645833333333 & 14.0657175925926 & -13.6115509259259 \tabularnewline
77 & 291.6 & 302.478981481481 & 291.475 & 11.0039814814815 & -10.8789814814814 \tabularnewline
78 & 290.9 & 299.773703703704 & 291.3125 & 8.46120370370368 & -8.87370370370371 \tabularnewline
79 & 290.9 & NA & NA & 6.28557870370371 & NA \tabularnewline
80 & 290.8 & NA & NA & 3.22807870370371 & NA \tabularnewline
81 & 290.5 & NA & NA & 0.50377314814815 & NA \tabularnewline
82 & 290 & NA & NA & -2.2835185185185 & NA \tabularnewline
83 & 290.2 & NA & NA & -4.58768518518518 & NA \tabularnewline
84 & 290.1 & NA & NA & -5.61115740740741 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208700&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]120.6[/C][C]NA[/C][C]NA[/C][C]-7.70331018518519[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]119.9[/C][C]NA[/C][C]NA[/C][C]-10.3375462962963[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]119.48[/C][C]NA[/C][C]NA[/C][C]-13.0251157407407[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]117.45[/C][C]NA[/C][C]NA[/C][C]14.0657175925926[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]118.37[/C][C]NA[/C][C]NA[/C][C]11.0039814814815[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]117.07[/C][C]NA[/C][C]NA[/C][C]8.46120370370368[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]114.98[/C][C]121.316412037037[/C][C]115.030833333333[/C][C]6.28557870370371[/C][C]-6.33641203703702[/C][/ROW]
[ROW][C]8[/C][C]112.59[/C][C]117.360162037037[/C][C]114.132083333333[/C][C]3.22807870370371[/C][C]-4.77016203703703[/C][/ROW]
[ROW][C]9[/C][C]111.7[/C][C]113.784606481481[/C][C]113.280833333333[/C][C]0.50377314814815[/C][C]-2.08460648148147[/C][/ROW]
[ROW][C]10[/C][C]112.04[/C][C]110.256481481481[/C][C]112.54[/C][C]-2.2835185185185[/C][C]1.78351851851853[/C][/ROW]
[ROW][C]11[/C][C]110.79[/C][C]107.193148148148[/C][C]111.780833333333[/C][C]-4.58768518518518[/C][C]3.59685185185185[/C][/ROW]
[ROW][C]12[/C][C]110.79[/C][C]105.347592592593[/C][C]110.95875[/C][C]-5.61115740740741[/C][C]5.44240740740742[/C][/ROW]
[ROW][C]13[/C][C]109.82[/C][C]102.508773148148[/C][C]110.212083333333[/C][C]-7.70331018518519[/C][C]7.31122685185184[/C][/ROW]
[ROW][C]14[/C][C]109.11[/C][C]99.218287037037[/C][C]109.555833333333[/C][C]-10.3375462962963[/C][C]9.89171296296297[/C][/ROW]
[ROW][C]15[/C][C]109.84[/C][C]95.9161342592593[/C][C]108.94125[/C][C]-13.0251157407407[/C][C]13.9238657407407[/C][/ROW]
[ROW][C]16[/C][C]109.31[/C][C]122.415300925926[/C][C]108.349583333333[/C][C]14.0657175925926[/C][C]-13.1053009259259[/C][/ROW]
[ROW][C]17[/C][C]108.29[/C][C]118.799814814815[/C][C]107.795833333333[/C][C]11.0039814814815[/C][C]-10.5098148148148[/C][/ROW]
[ROW][C]18[/C][C]107.42[/C][C]115.773703703704[/C][C]107.3125[/C][C]8.46120370370368[/C][C]-8.35370370370369[/C][/ROW]
[ROW][C]19[/C][C]106.71[/C][C]113.225578703704[/C][C]106.94[/C][C]6.28557870370371[/C][C]-6.51557870370371[/C][/ROW]
[ROW][C]20[/C][C]105.11[/C][C]109.875162037037[/C][C]106.647083333333[/C][C]3.22807870370371[/C][C]-4.76516203703706[/C][/ROW]
[ROW][C]21[/C][C]104.43[/C][C]106.824189814815[/C][C]106.320416666667[/C][C]0.50377314814815[/C][C]-2.39418981481482[/C][/ROW]
[ROW][C]22[/C][C]105.11[/C][C]103.653981481481[/C][C]105.9375[/C][C]-2.2835185185185[/C][C]1.4560185185185[/C][/ROW]
[ROW][C]23[/C][C]104.43[/C][C]101.001898148148[/C][C]105.589583333333[/C][C]-4.58768518518518[/C][C]3.42810185185184[/C][/ROW]
[ROW][C]24[/C][C]105.55[/C][C]99.7484259259259[/C][C]105.359583333333[/C][C]-5.61115740740741[/C][C]5.80157407407407[/C][/ROW]
[ROW][C]25[/C][C]106.12[/C][C]97.6121064814815[/C][C]105.315416666667[/C][C]-7.70331018518519[/C][C]8.50789351851851[/C][/ROW]
[ROW][C]26[/C][C]105.78[/C][C]95.1112037037037[/C][C]105.44875[/C][C]-10.3375462962963[/C][C]10.6687962962963[/C][/ROW]
[ROW][C]27[/C][C]105.33[/C][C]92.6628009259259[/C][C]105.687916666667[/C][C]-13.0251157407407[/C][C]12.6671990740741[/C][/ROW]
[ROW][C]28[/C][C]104.63[/C][C]119.960300925926[/C][C]105.894583333333[/C][C]14.0657175925926[/C][C]-15.3303009259259[/C][/ROW]
[ROW][C]29[/C][C]104.62[/C][C]117.040648148148[/C][C]106.036666666667[/C][C]11.0039814814815[/C][C]-12.4206481481481[/C][/ROW]
[ROW][C]30[/C][C]105.57[/C][C]114.581203703704[/C][C]106.12[/C][C]8.46120370370368[/C][C]-9.01120370370369[/C][/ROW]
[ROW][C]31[/C][C]107.5[/C][C]112.379328703704[/C][C]106.09375[/C][C]6.28557870370371[/C][C]-4.87932870370371[/C][/ROW]
[ROW][C]32[/C][C]107.52[/C][C]109.226828703704[/C][C]105.99875[/C][C]3.22807870370371[/C][C]-1.70682870370372[/C][/ROW]
[ROW][C]33[/C][C]107.76[/C][C]106.367523148148[/C][C]105.86375[/C][C]0.50377314814815[/C][C]1.39247685185187[/C][/ROW]
[ROW][C]34[/C][C]106.74[/C][C]103.406898148148[/C][C]105.690416666667[/C][C]-2.2835185185185[/C][C]3.33310185185185[/C][/ROW]
[ROW][C]35[/C][C]106.21[/C][C]100.851064814815[/C][C]105.43875[/C][C]-4.58768518518518[/C][C]5.35893518518519[/C][/ROW]
[ROW][C]36[/C][C]105.77[/C][C]99.4850925925926[/C][C]105.09625[/C][C]-5.61115740740741[/C][C]6.28490740740743[/C][/ROW]
[ROW][C]37[/C][C]105.27[/C][C]96.8896064814815[/C][C]104.592916666667[/C][C]-7.70331018518519[/C][C]8.38039351851852[/C][/ROW]
[ROW][C]38[/C][C]104.35[/C][C]93.6087037037037[/C][C]103.94625[/C][C]-10.3375462962963[/C][C]10.7412962962963[/C][/ROW]
[ROW][C]39[/C][C]103.52[/C][C]90.2473842592592[/C][C]103.2725[/C][C]-13.0251157407407[/C][C]13.2726157407407[/C][/ROW]
[ROW][C]40[/C][C]102.28[/C][C]116.674467592593[/C][C]102.60875[/C][C]14.0657175925926[/C][C]-14.3944675925926[/C][/ROW]
[ROW][C]41[/C][C]100.93[/C][C]112.975231481481[/C][C]101.97125[/C][C]11.0039814814815[/C][C]-12.0452314814815[/C][/ROW]
[ROW][C]42[/C][C]101.04[/C][C]109.83412037037[/C][C]101.372916666667[/C][C]8.46120370370368[/C][C]-8.79412037037034[/C][/ROW]
[ROW][C]43[/C][C]99.95[/C][C]107.189328703704[/C][C]100.90375[/C][C]6.28557870370371[/C][C]-7.23932870370369[/C][/ROW]
[ROW][C]44[/C][C]99.55[/C][C]103.777662037037[/C][C]100.549583333333[/C][C]3.22807870370371[/C][C]-4.22766203703704[/C][/ROW]
[ROW][C]45[/C][C]99.56[/C][C]100.768773148148[/C][C]100.265[/C][C]0.50377314814815[/C][C]-1.20877314814814[/C][/ROW]
[ROW][C]46[/C][C]99.01[/C][C]105.303148148148[/C][C]107.586666666667[/C][C]-2.2835185185185[/C][C]-6.29314814814815[/C][/ROW]
[ROW][C]47[/C][C]98.64[/C][C]117.915231481481[/C][C]122.502916666667[/C][C]-4.58768518518518[/C][C]-19.2752314814815[/C][/ROW]
[ROW][C]48[/C][C]98.98[/C][C]131.843009259259[/C][C]137.454166666667[/C][C]-5.61115740740741[/C][C]-32.8630092592593[/C][/ROW]
[ROW][C]49[/C][C]100.8[/C][C]144.738773148148[/C][C]152.442083333333[/C][C]-7.70331018518519[/C][C]-43.9387731481481[/C][/ROW]
[ROW][C]50[/C][C]100.32[/C][C]157.179537037037[/C][C]167.517083333333[/C][C]-10.3375462962963[/C][C]-56.859537037037[/C][/ROW]
[ROW][C]51[/C][C]100.72[/C][C]169.608217592593[/C][C]182.633333333333[/C][C]-13.0251157407407[/C][C]-68.8882175925926[/C][/ROW]
[ROW][C]52[/C][C]280.8[/C][C]211.783634259259[/C][C]197.717916666667[/C][C]14.0657175925926[/C][C]69.0163657407408[/C][/ROW]
[ROW][C]53[/C][C]280.4[/C][C]223.936481481482[/C][C]212.9325[/C][C]11.0039814814815[/C][C]56.4635185185184[/C][/ROW]
[ROW][C]54[/C][C]280.4[/C][C]237.063703703704[/C][C]228.6025[/C][C]8.46120370370368[/C][C]43.3362962962963[/C][/ROW]
[ROW][C]55[/C][C]280.3[/C][C]250.82224537037[/C][C]244.536666666667[/C][C]6.28557870370371[/C][C]29.4777546296296[/C][/ROW]
[ROW][C]56[/C][C]281[/C][C]263.688912037037[/C][C]260.460833333333[/C][C]3.22807870370371[/C][C]17.311087962963[/C][/ROW]
[ROW][C]57[/C][C]280.9[/C][C]276.900439814815[/C][C]276.396666666667[/C][C]0.50377314814815[/C][C]3.9995601851852[/C][/ROW]
[ROW][C]58[/C][C]279.7[/C][C]282.528981481481[/C][C]284.8125[/C][C]-2.2835185185185[/C][C]-2.82898148148143[/C][/ROW]
[ROW][C]59[/C][C]283.1[/C][C]281.141481481481[/C][C]285.729166666667[/C][C]-4.58768518518518[/C][C]1.95851851851859[/C][/ROW]
[ROW][C]60[/C][C]290.6[/C][C]281.051342592593[/C][C]286.6625[/C][C]-5.61115740740741[/C][C]9.5486574074074[/C][/ROW]
[ROW][C]61[/C][C]291.6[/C][C]279.975856481482[/C][C]287.679166666667[/C][C]-7.70331018518519[/C][C]11.6241435185185[/C][/ROW]
[ROW][C]62[/C][C]291.7[/C][C]278.39162037037[/C][C]288.729166666667[/C][C]-10.3375462962963[/C][C]13.3083796296297[/C][/ROW]
[ROW][C]63[/C][C]291.8[/C][C]276.695717592593[/C][C]289.720833333333[/C][C]-13.0251157407407[/C][C]15.1042824074074[/C][/ROW]
[ROW][C]64[/C][C]291.7[/C][C]304.790717592593[/C][C]290.725[/C][C]14.0657175925926[/C][C]-13.0907175925926[/C][/ROW]
[ROW][C]65[/C][C]291.5[/C][C]302.624814814815[/C][C]291.620833333333[/C][C]11.0039814814815[/C][C]-11.1248148148148[/C][/ROW]
[ROW][C]66[/C][C]291.7[/C][C]300.519537037037[/C][C]292.058333333333[/C][C]8.46120370370368[/C][C]-8.81953703703704[/C][/ROW]
[ROW][C]67[/C][C]293.4[/C][C]298.423078703704[/C][C]292.1375[/C][C]6.28557870370371[/C][C]-5.02307870370367[/C][/ROW]
[ROW][C]68[/C][C]293.1[/C][C]295.45724537037[/C][C]292.229166666667[/C][C]3.22807870370371[/C][C]-2.35724537037032[/C][/ROW]
[ROW][C]69[/C][C]292.6[/C][C]292.820439814815[/C][C]292.316666666667[/C][C]0.50377314814815[/C][C]-0.220439814814767[/C][/ROW]
[ROW][C]70[/C][C]292.1[/C][C]290.066481481481[/C][C]292.35[/C][C]-2.2835185185185[/C][C]2.03351851851858[/C][/ROW]
[ROW][C]71[/C][C]292.2[/C][C]287.783148148148[/C][C]292.370833333333[/C][C]-4.58768518518518[/C][C]4.4168518518519[/C][/ROW]
[ROW][C]72[/C][C]292[/C][C]286.730509259259[/C][C]292.341666666667[/C][C]-5.61115740740741[/C][C]5.26949074074076[/C][/ROW]
[ROW][C]73[/C][C]292.1[/C][C]284.500856481481[/C][C]292.204166666667[/C][C]-7.70331018518519[/C][C]7.59914351851853[/C][/ROW]
[ROW][C]74[/C][C]293.4[/C][C]281.66662037037[/C][C]292.004166666667[/C][C]-10.3375462962963[/C][C]11.7333796296296[/C][/ROW]
[ROW][C]75[/C][C]292.2[/C][C]278.795717592593[/C][C]291.820833333333[/C][C]-13.0251157407407[/C][C]13.4042824074074[/C][/ROW]
[ROW][C]76[/C][C]292.1[/C][C]305.711550925926[/C][C]291.645833333333[/C][C]14.0657175925926[/C][C]-13.6115509259259[/C][/ROW]
[ROW][C]77[/C][C]291.6[/C][C]302.478981481481[/C][C]291.475[/C][C]11.0039814814815[/C][C]-10.8789814814814[/C][/ROW]
[ROW][C]78[/C][C]290.9[/C][C]299.773703703704[/C][C]291.3125[/C][C]8.46120370370368[/C][C]-8.87370370370371[/C][/ROW]
[ROW][C]79[/C][C]290.9[/C][C]NA[/C][C]NA[/C][C]6.28557870370371[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]290.8[/C][C]NA[/C][C]NA[/C][C]3.22807870370371[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]290.5[/C][C]NA[/C][C]NA[/C][C]0.50377314814815[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]290[/C][C]NA[/C][C]NA[/C][C]-2.2835185185185[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]290.2[/C][C]NA[/C][C]NA[/C][C]-4.58768518518518[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]290.1[/C][C]NA[/C][C]NA[/C][C]-5.61115740740741[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208700&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208700&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	120.6	NA	NA	-7.70331018518519	NA
2	119.9	NA	NA	-10.3375462962963	NA
3	119.48	NA	NA	-13.0251157407407	NA
4	117.45	NA	NA	14.0657175925926	NA
5	118.37	NA	NA	11.0039814814815	NA
6	117.07	NA	NA	8.46120370370368	NA
7	114.98	121.316412037037	115.030833333333	6.28557870370371	-6.33641203703702
8	112.59	117.360162037037	114.132083333333	3.22807870370371	-4.77016203703703
9	111.7	113.784606481481	113.280833333333	0.50377314814815	-2.08460648148147
10	112.04	110.256481481481	112.54	-2.2835185185185	1.78351851851853
11	110.79	107.193148148148	111.780833333333	-4.58768518518518	3.59685185185185
12	110.79	105.347592592593	110.95875	-5.61115740740741	5.44240740740742
13	109.82	102.508773148148	110.212083333333	-7.70331018518519	7.31122685185184
14	109.11	99.218287037037	109.555833333333	-10.3375462962963	9.89171296296297
15	109.84	95.9161342592593	108.94125	-13.0251157407407	13.9238657407407
16	109.31	122.415300925926	108.349583333333	14.0657175925926	-13.1053009259259
17	108.29	118.799814814815	107.795833333333	11.0039814814815	-10.5098148148148
18	107.42	115.773703703704	107.3125	8.46120370370368	-8.35370370370369
19	106.71	113.225578703704	106.94	6.28557870370371	-6.51557870370371
20	105.11	109.875162037037	106.647083333333	3.22807870370371	-4.76516203703706
21	104.43	106.824189814815	106.320416666667	0.50377314814815	-2.39418981481482
22	105.11	103.653981481481	105.9375	-2.2835185185185	1.4560185185185
23	104.43	101.001898148148	105.589583333333	-4.58768518518518	3.42810185185184
24	105.55	99.7484259259259	105.359583333333	-5.61115740740741	5.80157407407407
25	106.12	97.6121064814815	105.315416666667	-7.70331018518519	8.50789351851851
26	105.78	95.1112037037037	105.44875	-10.3375462962963	10.6687962962963
27	105.33	92.6628009259259	105.687916666667	-13.0251157407407	12.6671990740741
28	104.63	119.960300925926	105.894583333333	14.0657175925926	-15.3303009259259
29	104.62	117.040648148148	106.036666666667	11.0039814814815	-12.4206481481481
30	105.57	114.581203703704	106.12	8.46120370370368	-9.01120370370369
31	107.5	112.379328703704	106.09375	6.28557870370371	-4.87932870370371
32	107.52	109.226828703704	105.99875	3.22807870370371	-1.70682870370372
33	107.76	106.367523148148	105.86375	0.50377314814815	1.39247685185187
34	106.74	103.406898148148	105.690416666667	-2.2835185185185	3.33310185185185
35	106.21	100.851064814815	105.43875	-4.58768518518518	5.35893518518519
36	105.77	99.4850925925926	105.09625	-5.61115740740741	6.28490740740743
37	105.27	96.8896064814815	104.592916666667	-7.70331018518519	8.38039351851852
38	104.35	93.6087037037037	103.94625	-10.3375462962963	10.7412962962963
39	103.52	90.2473842592592	103.2725	-13.0251157407407	13.2726157407407
40	102.28	116.674467592593	102.60875	14.0657175925926	-14.3944675925926
41	100.93	112.975231481481	101.97125	11.0039814814815	-12.0452314814815
42	101.04	109.83412037037	101.372916666667	8.46120370370368	-8.79412037037034
43	99.95	107.189328703704	100.90375	6.28557870370371	-7.23932870370369
44	99.55	103.777662037037	100.549583333333	3.22807870370371	-4.22766203703704
45	99.56	100.768773148148	100.265	0.50377314814815	-1.20877314814814
46	99.01	105.303148148148	107.586666666667	-2.2835185185185	-6.29314814814815
47	98.64	117.915231481481	122.502916666667	-4.58768518518518	-19.2752314814815
48	98.98	131.843009259259	137.454166666667	-5.61115740740741	-32.8630092592593
49	100.8	144.738773148148	152.442083333333	-7.70331018518519	-43.9387731481481
50	100.32	157.179537037037	167.517083333333	-10.3375462962963	-56.859537037037
51	100.72	169.608217592593	182.633333333333	-13.0251157407407	-68.8882175925926
52	280.8	211.783634259259	197.717916666667	14.0657175925926	69.0163657407408
53	280.4	223.936481481482	212.9325	11.0039814814815	56.4635185185184
54	280.4	237.063703703704	228.6025	8.46120370370368	43.3362962962963
55	280.3	250.82224537037	244.536666666667	6.28557870370371	29.4777546296296
56	281	263.688912037037	260.460833333333	3.22807870370371	17.311087962963
57	280.9	276.900439814815	276.396666666667	0.50377314814815	3.9995601851852
58	279.7	282.528981481481	284.8125	-2.2835185185185	-2.82898148148143
59	283.1	281.141481481481	285.729166666667	-4.58768518518518	1.95851851851859
60	290.6	281.051342592593	286.6625	-5.61115740740741	9.5486574074074
61	291.6	279.975856481482	287.679166666667	-7.70331018518519	11.6241435185185
62	291.7	278.39162037037	288.729166666667	-10.3375462962963	13.3083796296297
63	291.8	276.695717592593	289.720833333333	-13.0251157407407	15.1042824074074
64	291.7	304.790717592593	290.725	14.0657175925926	-13.0907175925926
65	291.5	302.624814814815	291.620833333333	11.0039814814815	-11.1248148148148
66	291.7	300.519537037037	292.058333333333	8.46120370370368	-8.81953703703704
67	293.4	298.423078703704	292.1375	6.28557870370371	-5.02307870370367
68	293.1	295.45724537037	292.229166666667	3.22807870370371	-2.35724537037032
69	292.6	292.820439814815	292.316666666667	0.50377314814815	-0.220439814814767
70	292.1	290.066481481481	292.35	-2.2835185185185	2.03351851851858
71	292.2	287.783148148148	292.370833333333	-4.58768518518518	4.4168518518519
72	292	286.730509259259	292.341666666667	-5.61115740740741	5.26949074074076
73	292.1	284.500856481481	292.204166666667	-7.70331018518519	7.59914351851853
74	293.4	281.66662037037	292.004166666667	-10.3375462962963	11.7333796296296
75	292.2	278.795717592593	291.820833333333	-13.0251157407407	13.4042824074074
76	292.1	305.711550925926	291.645833333333	14.0657175925926	-13.6115509259259
77	291.6	302.478981481481	291.475	11.0039814814815	-10.8789814814814
78	290.9	299.773703703704	291.3125	8.46120370370368	-8.87370370370371
79	290.9	NA	NA	6.28557870370371	NA
80	290.8	NA	NA	3.22807870370371	NA
81	290.5	NA	NA	0.50377314814815	NA
82	290	NA	NA	-2.2835185185185	NA
83	290.2	NA	NA	-4.58768518518518	NA
84	290.1	NA	NA	-5.61115740740741	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; par2 = 12 ;

R code (references can be found in the software module):

par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code